1. A Turbo Booster toy that launches a 60-gram “insect” glider projectile by compressing a helical spring and then releasing the spring when the trigger is pulled. When pointed upward the glider should ascend approximately 8 m before falling. The launcher is made with carbon steel wire, with a diameter of d=1.1 mm. The coil diameter is D=10 mm. Calculate the number of turns N in the spring such that it would provide the necessary energy to the glider. The total working deflection is x=150 mm with a clash allowance of 10%.
I need to used conservation of energy to find initial velocity and spring constant I believe. Final velocity is 0. Not sure how to find the number of turns in the spring though.
The Attempt at a Solution
g=9.81 m/s^2 gravity
d=1.1 mm wire diameter
D=10 mm col diameter
m=60 gm mass of toy
x=150 mm working deflection
dist= 8 m distance traveled
C=D/d=10/1.1= 9.091 spring index
G=11.2*10^6 psi (for carbon steel)
somehow need number of turns